I'm going to assume the question is NOT stalkerish (I like that work, though) and answer it on those terms.
Actors coming from out of town, whether from abroad or simply elsewhere in the US, are put up in one of the thousands of short term accommodations that are let by the week or month for just such situations. The level of niceness varies by the person involved, but all are generally decent. At the top end, and actor may be provided a house or apartment that costs as much as $25000-35000 or more a month, and at the bottom end they may get a by the numbers apartment that runs about $5000-7500 a month.
If you want to know where to stalk them, sorry you'll have to do like other stalkers and follow them out of the stage door and down the street until they get home.